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Course info
KMF / BMA1E
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Course description
Department/Unit / Abbreviation
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KMF
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BMA1E
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Mathematics
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Form of course completion
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Examination
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Form of course completion
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Examination
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Accredited / Credits
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Yes,
7
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
2
[HRS/WEEK]
Tutorial
3
[HRS/WEEK]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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No
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Included in study average
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YES
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Language of instruction
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Czech
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Occ/max
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Automatic acceptance of credit before examination
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No
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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27 / -
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0 / 0
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0 / 0
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter semester
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Semester taught
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Winter semester
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Minimum (B + C) students
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not determined
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech
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Internship duration
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0
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No. of hours of on-premise lessons |
0
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Evaluation scale |
A|B|C|D|E|F |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
Yes
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Fundamental course |
No
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Fundamental theoretical course |
Yes
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Evaluation scale |
A|B|C|D|E|F |
Evaluation scale for credit before examination |
S|N |
Substituted course
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None
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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The module is focused to introduce students to the area of elementary mathematical terms, differential and integral calculus function of one's variable and theory of numeral and functional sequences.The module should increase logical and mathematical skills of the students.
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Requirements on student
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Given assignment confirms that a student has attended lessons to the extent required and fulfilled qualified requirements. Conditions for credit are: active work at exercises, min. 75% presence, credit test (according to the teacher's decision in the form of Moodle or written), 2 examination papers, student passes if he/she obtains 50 points of 100 possible.
Form, contents and length of the exam is determined in accordance with Study and Examining Rules of University of Pardubice. The exam consists of two parts, a written test and a theoretical exam. Student passes successfully the written test as well as the theoretical part of the exam if he/she obtains at minimum 50% of possible points in each part.
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Content
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1. Mathematical logic (constant, variable, statement, operations with statements). Boolean algebra. 2. Relation, equivalence and arrangement on a set, representation of sets, basic algebraic structures. 3. Functions, basic elementary functions, polynomial, compound function. Inverse function. Function limit, continuity. 4. Derivation, geometric and physical interpretation, derivation of elementary functions, L´Hospital's rule. 5. Differential, geometric interpretation, application of differential for determining approximate values ??of functions. 6. Extremes of functions. Course of function (examination of the course of function). 7. Primitive functions. 8. Definite integral. Application of the integral number of functions of one variable. 9. Matrices, operations with matrices (sum, product, multiplication by real number). Vector spaces. 10. Rank of matrix, solution of systems of homogeneous and inhomogeneous linear equations, Frobeni's theorem. 11. Gaussian elimination method, Cramer's rule. 12. Affine spaces, affine coordinate system, notion of subspace, parametric equations of subspaces, general equations subspaces, mutual position of subspaces. 13. Vector functions, parameterization of curves, methods of entering curves. Curve length. Curvature. Parameterization of surfaces, ways of entering surfaces, tangent, tangent plane and surface normal.
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Activities
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Fields of study
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V případě mimořádných opatření bude výuka probíhat vzdáleně s využitím programu MS Teams v době dle rozvrhu. Účast na schůzkách skupiny v MS Teams je ekvivalentní účasti na přednáškách a cvičeních.
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Guarantors and lecturers
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Guarantors:
Mgr. Jaroslav Marek, Ph.D. ,
RNDr. Josef Rak, Ph.D. ,
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Lecturer:
Mgr. Jaroslav Marek, Ph.D. (100%),
RNDr. Josef Rak, Ph.D. (100%),
doc. Mgr. Jiří Tuček, Ph.D. (100%),
RNDr. Jaromír Zahrádka, Ph.D. (100%),
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Tutorial lecturer:
Mgr. Jaroslav Marek, Ph.D. (100%),
Mgr. Alena Pozdílková, Ph.D. (100%),
RNDr. Josef Rak, Ph.D. (100%),
RNDr. Iva Rulićová (100%),
RNDr. Jaromír Zahrádka, Ph.D. (100%),
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Literature
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Time requirements
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Full-time form of study
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Activities
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Time requirements for activity [h]
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Domácí příprava na výuku
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36
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Total
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36
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Prerequisites - other information about course preconditions |
Standard mathematical knowns and skills of the mathematics of the middle schools, which make possible to continue the differential and integral onevariable calculus.
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Competences acquired |
After completing the course, the student demonstrates knowledge of differential, integral calculus of functions of several variables, linear algebra. Can apply mathematical methods to explain, describe and characterize various situations requiring grasp by mathematical tools. |
Teaching methods |
- Monologic (reading, lecture, briefing)
- Projection
- Skills training
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Assessment methods |
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